The \(\psi (4040)\)  resonance is assigned to be the \(3^{3}S_{1}\)  charmonium state
in the potential quark model. Four open-charm decay modes \(D\bar{D}\) , \(D\bar{D}^*+c.c.\) , \(D^*\bar{D}^*\) 
and \(D_s\bar{D}_s\)  have been seen in experiment [1]}. For convenience, we apply as follows the abbreviations \(DD\) , \(DD^*\) , \(D^*D^*\)  and \(D_sD_s\)  etc for the corresponding charmed and anti-charmed meson pairs in the final state.
Its OZI allowed two-body strong decays in the LP and SP models are calculated and listed in Table REF .
